A body with a plane stress field has material properties E, ν and has the following displacement field
u(x,y) = a(x^3) - bx(y^2) v(x,y) = c(x^2)y - d(y^3)
where a, b, c and d are constants. Determine the following:
(a) σx, σy and τxy as functions of x and y.
(b) Is the displacement field compatible?